Color Image Recovery Using Low-Rank Quaternion Matrix Completion Algorithm
| العنوان: | Color Image Recovery Using Low-Rank Quaternion Matrix Completion Algorithm |
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| المؤلفون: | Jifei Miao, Kit Ian Kou |
| المصدر: | IEEE Transactions on Image Processing. 31:190-201 |
| بيانات النشر: | Institute of Electrical and Electronics Engineers (IEEE), 2022. |
| سنة النشر: | 2022 |
| مصطلحات موضوعية: | Rank (linear algebra), Color image, Image and Video Processing (eess.IV), MathematicsofComputing_NUMERICALANALYSIS, ComputingMethodologies_IMAGEPROCESSINGANDCOMPUTERVISION, Matrix norm, Numerical Analysis (math.NA), Electrical Engineering and Systems Science - Image and Video Processing, Computer Graphics and Computer-Aided Design, Matrix (mathematics), Tensor (intrinsic definition), FOS: Mathematics, FOS: Electrical engineering, electronic engineering, information engineering, Mathematics - Numerical Analysis, Representation (mathematics), Quaternion, Complex number, Algorithm, Software, ComputingMethodologies_COMPUTERGRAPHICS, Mathematics |
| الوصف: | As a new color image representation tool, quaternion has achieved excellent results in color image processing problems. In this paper, we propose a novel low-rank quaternion matrix completion algorithm to recover missing data of a color image. Motivated by two kinds of low-rank approximation approaches (low-rank decomposition and nuclear norm minimization) in traditional matrix-based methods, we combine the two approaches in our quaternion matrix-based model. Furthermore, the nuclear norm of the quaternion matrix is replaced by the sum of the Frobenius norm of its two low-rank factor quaternion matrices. Based on the relationship between the quaternion matrix and its equivalent complex matrix, the problem eventually is converted from the quaternion number domain to the complex number domain. An alternating minimization method is applied to solve the model. Simulation results on color image recovery show the superior performance and efficiency of the proposed algorithm over some tensor-based and quaternion-based ones. |
| تدمد: | 1941-0042 1057-7149 |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ae6794752db2ee19c7770644c7a518e https://doi.org/10.1109/tip.2021.3128321 |
| حقوق: | OPEN |
| رقم الأكسشن: | edsair.doi.dedup.....4ae6794752db2ee19c7770644c7a518e |
| قاعدة البيانات: | OpenAIRE |
| تدمد: | 19410042 10577149 |
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